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Finding the Fourth Proportional to 27,578.68, 41,056.10 and 27,414.66

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Solution

The fourth proportional to 27,578.68, 41,056.10 and 27,414.66 is: 40,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.68 : 41,056.10 = 27,414.66 : x
  2. Step 2: Convert to fraction form
    27,578.68/41,056.10 = 27,414.66/x
  3. Step 3: Cross multiply
    27,578.68x = 41,056.10 × 27,414.66
  4. Step 4: Simplify right side
    27,578.68x = 1,125,539,022.43
  5. Step 5: Solve for x
    x = 1,125,539,022.43/27,578.68
  6. Step 6: Final answer
    x = 40,811.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.